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Finding the Fourth Proportional to 96,169.60, 144,254.40 and 83,881.60

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Solution

The fourth proportional to 96,169.60, 144,254.40 and 83,881.60 is: 125,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,169.60 : 144,254.40 = 83,881.60 : x
  2. Step 2: Convert to fraction form
    96,169.60/144,254.40 = 83,881.60/x
  3. Step 3: Cross multiply
    96,169.60x = 144,254.40 × 83,881.60
  4. Step 4: Simplify right side
    96,169.60x = 12,100,289,879.04
  5. Step 5: Solve for x
    x = 12,100,289,879.04/96,169.60
  6. Step 6: Final answer
    x = 125,822.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.